Teaching myself PDE so I'm understanding Separation of variables it's pretty simple up to the point you need to realize the orthogonality of the sin functions. So based on orthogonality it states that each constant becomes(adsbygoogle = window.adsbygoogle || []).push({});

A_{n}= 2 ∫_{0}^{1}f(x)sin(nπx)dx

that f(x) isn't described very well and they just say "solved" so my guess is that f(x) is the initial condition such that

f(0) =initial at 0 x

f(1) = initial at 1 x

and nothing in between.

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# Want to check my understanding

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